Trigonometry Examples

$\tan (21) = \frac{9}{x}$

Step 1

Evaluate $\tan (21)$ .

$0.38386403 = \frac{9}{x}$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$1, x$

Step 2.2

The LCM of one and any expression is the expression.

$x$

Step 3

Multiply each term in $0.38386403 = \frac{9}{x}$ by $x$ to eliminate the fractions.

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Step 3.1

Multiply each term in $0.38386403 = \frac{9}{x}$ by $x$ .

$0.38386403 x = \frac{9}{x} x$

Step 3.2

Simplify the right side.

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Step 3.2.1

Cancel the common factor of $x$ .

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Step 3.2.1.1

Cancel the common factor.

$0.38386403 x = \frac{9}{x} x$

Step 3.2.1.2

Rewrite the expression.

$0.38386403 x = 9$

Step 4

Divide each term in $0.38386403 x = 9$ by $0.38386403$ and simplify.

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Step 4.1

Divide each term in $0.38386403 x = 9$ by $0.38386403$ .

$\frac{0.38386403 x}{0.38386403} = \frac{9}{0.38386403}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.38386403$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.38386403 x}{0.38386403} = \frac{9}{0.38386403}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{9}{0.38386403}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $9$ by $0.38386403$ .

$x = 23.44580158$